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D( x )
x+7 = 0
x-7 = 0
x^2-49 = 0
x+7 = 0
x+7 = 0
x+7 = 0 // - 7
x = -7
x-7 = 0
x-7 = 0
x-7 = 0 // + 7
x = 7
x^2-49 = 0
x^2-49 = 0
1*x^2 = 49 // : 1
x^2 = 49
x^2 = 49 // ^ 1/2
abs(x) = 7
x = 7 or x = -7
x in (-oo:-7) U (-7:7) U (7:+oo)
7/(x+7)-(6/(x-7)) = (3*x)/(x^2-49) // - (3*x)/(x^2-49)
7/(x+7)-(6/(x-7))-((3*x)/(x^2-49)) = 0
7/(x+7)-6*(x-7)^-1-3*x*(x^2-49)^-1 = 0
7/(x+7)-6/(x-7)+(-3*x)/(x^2-49) = 0
(7*(x-7)*(x^2-49))/((x+7)*(x-7)*(x^2-49))+(-6*(x+7)*(x^2-49))/((x+7)*(x-7)*(x^2-49))+(-3*x*(x+7)*(x-7))/((x+7)*(x-7)*(x^2-49)) = 0
7*(x-7)*(x^2-49)-6*(x+7)*(x^2-49)-3*x*(x+7)*(x-7) = 0
x^3-3*x^3-91*x^2-49*x+147*x+4459 = 0
98*x-2*x^3-91*x^2+4459 = 0
98*x-2*x^3-91*x^2+4459 = 0
98*x-2*x^3-91*x^2+4459
91*(49-x^2)-2*x^3+98*x
2*x*(49-x^2)+91*(49-x^2)
(2*x+91)*(49-x^2)
((2*x+91)*(49-x^2))/((x+7)*(x-7)*(x^2-49)) = 0
((2*x+91)*(49-x^2))/((x+7)*(x-7)*(x^2-49)) = 0 // * (x+7)*(x-7)*(x^2-49)
(2*x+91)*(49-x^2) = 0
( 2*x+91 )
2*x+91 = 0 // - 91
2*x = -91 // : 2
x = -91/2
( 49-x^2 )
-1*x^2 = -49 // : -1
x^2 = 49
x^2 = 49 // ^ 1/2
abs(x) = 7
x = 7 or x = -7
x in { 7}
x in { -7}
x = -91/2
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